Functional Analysis and Geometry: Selim Grigorievich Krein Centennial

Functional Analysis and Geometry: Selim Grigorievich Krein Centennial
Author: Peter Kuchment
Publisher: American Mathematical Soc.
Total Pages: 314
Release: 2019-07-26
Genre: Mathematics
ISBN: 1470437821

This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry.

Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial

Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial
Author: Peter Kuchment
Publisher: American Mathematical Soc.
Total Pages: 322
Release: 2019-07-22
Genre: Mathematics
ISBN: 147043783X

This is the second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 733. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in ordinary and partial differential equations, fluid dynamics, and various applications.

Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics
Author: Wolfram Bauer
Publisher: Springer Nature
Total Pages: 467
Release: 2020-09-01
Genre: Mathematics
ISBN: 3030446514

This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Liouville-Riemann-Roch Theorems on Abelian Coverings

Liouville-Riemann-Roch Theorems on Abelian Coverings
Author: Minh Kha
Publisher: Springer Nature
Total Pages: 96
Release: 2021-02-12
Genre: Mathematics
ISBN: 3030674282

This book is devoted to computing the index of elliptic PDEs on non-compact Riemannian manifolds in the presence of local singularities and zeros, as well as polynomial growth at infinity. The classical Riemann–Roch theorem and its generalizations to elliptic equations on bounded domains and compact manifolds, due to Maz’ya, Plameneskii, Nadirashvilli, Gromov and Shubin, account for the contribution to the index due to a divisor of zeros and singularities. On the other hand, the Liouville theorems of Avellaneda, Lin, Li, Moser, Struwe, Kuchment and Pinchover provide the index of periodic elliptic equations on abelian coverings of compact manifolds with polynomial growth at infinity, i.e. in the presence of a "divisor" at infinity. A natural question is whether one can combine the Riemann–Roch and Liouville type results. This monograph shows that this can indeed be done, however the answers are more intricate than one might initially expect. Namely, the interaction between the finite divisor and the point at infinity is non-trivial. The text is targeted towards researchers in PDEs, geometric analysis, and mathematical physics.

Functional Analysis and Infinite-Dimensional Geometry

Functional Analysis and Infinite-Dimensional Geometry
Author: Marian Fabian
Publisher: Springer Science & Business Media
Total Pages: 455
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475734808

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.

Introduction to Radon Transforms

Introduction to Radon Transforms
Author: Boris Rubin
Publisher: Cambridge University Press
Total Pages: 595
Release: 2015-11-12
Genre: Mathematics
ISBN: 0521854598

A comprehensive introduction to basic operators of integral geometry and the relevant harmonic analysis for students and researchers.

Integrable Hamiltonian Systems

Integrable Hamiltonian Systems
Author: A.V. Bolsinov
Publisher: CRC Press
Total Pages: 752
Release: 2004-02-25
Genre: Mathematics
ISBN: 0203643429

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors,

Voronezh Winter Mathematical Schools

Voronezh Winter Mathematical Schools
Author: Peter Kuchment
Publisher: American Mathematical Soc.
Total Pages: 308
Release: 1998
Genre: Mathematics
ISBN: 9780821809761

The Voronezh Winter Mathematical School was an annual event in the scientific life of the former Soviet Union for 25 years. Articles collected here are written by prominent mathematicians and former lecturers and participants of the school, covering a range of subjects in analysis and geometry. Specific topics include global analysis, harmonic analysis, function theory, dynamical systems, operator theory, mathematical physics, spectral theory, homogenization, algebraic geometry, differential geometry, and geometric analysis. For researchers and graduate students in analysis, geometry, and mathematical physics. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Dictionary of Jewish Biography

Dictionary of Jewish Biography
Author: Dan Cohn-Sherbok
Publisher: A&C Black
Total Pages: 383
Release: 2006-03-10
Genre: Religion
ISBN: 0826480403

From Abraham to Saul Bellow, from Moses Maimonides to Woody Allen, from the Balla Shem Tov to Albert Einstein, this comprehensive dictionary of Jewish biographies provides a first point of entry into the richness of the Jewish heritage. With the advice of leading Jewish scholars, the Dictionary of Jewish Biography provides a rapid reference to those Jewish men and women who have, over the last four thousand years, contributed to the life of the Jewish people and the history of the Jewish religion. This dictionary will prove essential for general readers interested in the evolution of Judaism from ancient times to the present day, a perfect study aid for students and teachers.

Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics
Author: Wolfram Bauer
Publisher: Birkhäuser
Total Pages: 467
Release: 2021-09-02
Genre: Mathematics
ISBN: 9783030446536

This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.